Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (16.3%)

Results

1.0s	8256×	body	256	valid
0.0ms	5×	body	256	invalid

preprocess132.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify126.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 x (fma.f64 x -2 3)))
▶	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x -2 3))
✓	0.2b	(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (.f64 x (fma.f64 x -2 3)))
1.0ms	x	@	0	(.f64 x (.f64 x (fma.f64 x -2 3)))
1.0ms	x	@	inf	(.f64 x (.f64 x (fma.f64 x -2 3)))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 x -2 3))
0.0ms	x	@	0	(*.f64 x (fma.f64 x -2 3))

rewrite100.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
601×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	143	19
2	1613	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 x (fma.f64 x -2 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -2) (.f64 x x)) (.f64 3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (.f64 x (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -2 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 x x)) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -2 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -2 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -2) x) (.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -2)) (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -2 3))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x -2)) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) x) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))))))))

simplify184.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite93.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
800×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	13
2	2201	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) (.f64 (.f64 x -2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 3) (.f64 (.f64 x x) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 27 (.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 9 (.f64 (.f64 x x) 4))) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (+.f64 3 (.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 (.f64 x -2)) 3) (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))))

simplify177.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	147
1	26	147
2	58	138
3	152	120
4	418	120
5	1671	120
6	3415	120
7	3771	120
8	4021	120
9	4308	120
10	4687	120
11	5244	120
12	5864	120
13	6570	120
14	7043	120
15	7360	120
16	7632	120
17	7802	120
18	7896	120

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))

eval14.0ms (0.2%)

Compiler: Compiled 650 to 437 computations (32.8% saved)

prune42.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	53	9	62

Error

0.0b

Counts

62 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	22.6b	(.f64 x (.f64 x (*.f64 x -2)))
▶	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
	14.6b	(.f64 x (.f64 3 x))
	22.6b	(*.f64 -2 (pow.f64 x 3))
▶	14.6b	(.f64 3 (.f64 x x))
▶	7.4b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Compiler

Compiled 198 to 133 computations (32.8% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))

rewrite98.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
430×	`prod-exp_binary64`
428×	`fma-def_binary64`
356×	`pow-prod-down_binary64`
355×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	19
2	2733	19

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 1) (*.f64 (*.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 3) (pow.f64 (*.f64 x (*.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (*.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 x 3)) 2)) (-.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 (*.f64 x (*.f64 x -2)) 3)) x) (fma.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2))) (pow.f64 (*.f64 x (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -2 3)) (*.f64 x (fma.f64 x -2 -3))) x) (*.f64 x (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 27 (pow.f64 (*.f64 x (*.f64 x -2)) 3))) (fma.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2))) (pow.f64 (*.f64 x (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x -2 3)) (*.f64 x (fma.f64 x -2 -3)))) (*.f64 x (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))))))) (#(struct:change 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fma.f64 3 x (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) 1 (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -2 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -2))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (cbrt.f64 (*.f64 x 3)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -2) 2)) (*.f64 (cbrt.f64 (*.f64 x -2)) x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -2))) (sqrt.f64 (*.f64 x (*.f64 x -2))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -2) 2))) (cbrt.f64 (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 3))))))

simplify208.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

173 → 158

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 3 (.f64 x x))
1.0ms	x	@	inf	(.f64 3 (.f64 x x))
0.0ms	x	@	-inf	(.f64 3 (.f64 x x))

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))))

simplify191.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (.f64 x (*.f64 x -2)))
0.0ms	x	@	inf	(.f64 x (.f64 x (*.f64 x -2)))
0.0ms	x	@	-inf	(.f64 x (.f64 x (*.f64 x -2)))

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1415	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x -2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -2)))))))

simplify179.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

Outputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.2b	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
✓	4.8b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 57 to 33 computations (42.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) 4)

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
443×	`prod-diff_binary64`
257×	`fma-def_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	294	36
2	3991	34

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
(.f64 (.f64 x x) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9 (/.f64 (fma.f64 x 2 3) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 4)) (/.f64 (fma.f64 x 2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (*.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 x (neg.f64 x))) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) 1) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) 1) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (fma.f64 (*.f64 x x) -4 9) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 (*.f64 x x) -4 9)) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 9) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 x x)) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 81 (*.f64 16 (pow.f64 x 4))) (*.f64 x x)) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 81 (*.f64 16 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 x x))) 1))))))

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
542×	`cube-prod_binary64`
455×	`fabs-mul_binary64`
390×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	378
1	41	378
2	91	369
3	248	351
4	855	351
5	1543	351
6	2999	351
7	3118	351
8	3291	351
9	3506	351
10	3789	351
11	4165	351
12	4612	351
13	5163	351
14	5855	351
15	6314	351
16	6625	351
17	6893	351
18	7105	351
19	7295	351

Stop Event

1×	node limit

Counts

132 → 108

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))

localize62.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
✓	0.0b	(*.f64 8 (pow.f64 x 3))
✓	0.2b	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
✓	6.9b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))

Compiler

Compiled 88 to 58 computations (34.1% saved)

series16.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
3.0ms	x	@	inf	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
2.0ms	x	@	inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	inf	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))

rewrite133.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`fma-def_binary64`
318×	`expm1-udef_binary64`
318×	`log1p-udef_binary64`
274×	`fma-neg_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	414	64
2	5499	54

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))) (/.f64 (.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -8 27) (.f64 (.f64 x x) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (pow.f64 x 3) -8 27) (neg.f64 (.f64 x x))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) (.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) 1) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) 1) (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) 1) (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) 1) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify139.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

908×	`distribute-lft-in_binary64`
697×	`unswap-sqr_binary64`
678×	`associate-r_binary64`
586×	`distribute-rgt-in_binary64`
408×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	411
1	50	411
2	105	393
3	262	357
4	699	357
5	2082	357
6	4292	357
7	4902	357
8	6925	357
9	7271	357
10	7741	357

Stop Event

1×	node limit

Counts

183 → 162

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 27 (pow.f64 x 2))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))

eval241.0ms (3.7%)

Compiler: Compiled 9009 to 6183 computations (31.4% saved)

prune77.0ms (1.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	451	5	456
Fresh	2	1	3
Picked	1	0	1
Done	0	5	5
Total	454	11	465

Error

Counts

465 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	14.8b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
▶	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	22.6b	(.f64 x (.f64 x (*.f64 x -2)))
	22.6b	(*.f64 -2 (pow.f64 x 3))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
▶	0.1b	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
▶	14.6b	(.f64 x (.f64 3 x))
✓	14.6b	(.f64 3 (.f64 x x))
▶	14.1b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))

Compiler

Compiled 192 to 128 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x -2) (*.f64 x x))
✓	0.1b	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
0.0ms	x	@	inf	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
0.0ms	x	@	-inf	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
0.0ms	x	@	0	(.f64 (.f64 x -2) (*.f64 x x))
0.0ms	x	@	-inf	(.f64 (.f64 x -2) (*.f64 x x))

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
676×	`add-log-exp_binary64`
675×	`log1p-expm1-u_binary64`
675×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	166	20
2	1902	20

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(.f64 (.f64 x -2) (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 3) 1) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) (sqrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 3) 3) (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 3)) (-.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2) (*.f64 (*.f64 (*.f64 x x) 3) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2)) (-.f64 (*.f64 (*.f64 x x) 3) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x -2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))))

simplify188.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	231
1	26	231
2	58	222
3	152	204
4	418	204
5	1671	204
6	3415	204
7	3771	204
8	4021	204
9	4308	204
10	4687	204
11	5244	204
12	5864	204
13	6570	204
14	7043	204
15	7360	204
16	7632	204
17	7802	204
18	7896	204

Stop Event

1×	node limit

Counts

59 → 40

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 3 x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 3 x))
0.0ms	x	@	inf	(.f64 x (.f64 3 x))
0.0ms	x	@	-inf	(.f64 x (.f64 3 x))

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
412×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1132	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 x (.f64 3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

localize28.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 x (.f64 x 9))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (.f64 x 9))
1.0ms	x	@	0	(.f64 x (.f64 x 9))
1.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
423×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
269×	`pow2_binary64`
189×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	21
2	2888	21

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(.f64 x (.f64 x 9))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 9))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 3) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 9)) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 (*.f64 x 3) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -9) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 9) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 9 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x 9) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 x (*.f64 x 9)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 9 (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x 3) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 x (*.f64 x 9)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 9)) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 1) 1))))))

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
510×	`associate-/l/_binary64`
439×	`times-frac_binary64`
426×	`fma-neg_binary64`
405×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	102	234
2	238	232
3	649	225
4	1880	219
5	4517	219

Stop Event

1×	node limit

Counts

111 → 105

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 (.f64 x x) 3 (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 -2 (pow.f64 x 3))))
(fma.f64 (.f64 x x) 3 (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 4/3 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4/3 -2) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 (.f64 x x) 3 (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 x (.f64 x 3) (fma.f64 -2 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 x 4) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 4/3 (pow.f64 x 4) (.f64 -8/9 (pow.f64 x 5))))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4/3 -2) 3) (.f64 -8/9 (pow.f64 x 5)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (/.f64 -243/16 (*.f64 x x)) (fma.f64 x 9/2 -27/4)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (/.f64 -243/16 (*.f64 x x)) (fma.f64 x 9/2 -27/4)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	0.1b	(.f64 (.f64 x x) (*.f64 x -2))
✓	0.2b	(.f64 (.f64 x x) 3)

Compiler

Compiled 35 to 17 computations (51.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
0.0ms	x	@	0	(.f64 (.f64 x x) 3)
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
0.0ms	x	@	inf	(.f64 (.f64 x x) 3)
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
497×	`fma-def_binary64`
408×	`prod-exp_binary64`
338×	`exp-prod_binary64`
328×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	199	25
2	2644	25

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(.f64 (.f64 x x) 3)
(.f64 (.f64 x x) (*.f64 x -2))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x 3)) (*.f64 (log.f64 x) 1)))))))

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3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -2 (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 3)) 1 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x 3)) 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -2)) (pow.f64 (*.f64 x (cbrt.f64 -2)) 2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -2)) 2) (*.f64 x (cbrt.f64 -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 (cbrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -2)) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) x (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -2 (pow.f64 x 3)))))))

simplify227.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	315
1	26	315
2	58	306
3	152	288
4	418	288
5	1671	288
6	3415	288
7	3771	288
8	4021	288
9	4308	288
10	4687	288
11	5244	288
12	5864	288
13	6570	288
14	7043	288
15	7360	288
16	7632	288
17	7802	288
18	7896	288

Stop Event

1×	node limit

Counts

188 → 156

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 x x) 4)
	0.0b	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
✓	0.2b	(.f64 x (.f64 x 27))
✓	0.2b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))

Compiler

Compiled 62 to 38 computations (38.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
1.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
0.0ms	x	@	inf	(.f64 x (.f64 x 27))
0.0ms	x	@	0	(.f64 x (.f64 x 27))
0.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log-prod_binary64`
483×	`fma-def_binary64`
266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`
253×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	317	29
2	4315	25

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(.f64 x (.f64 x 27))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))) (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 27) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 27) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 27)) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 27 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 2) (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 27)) (*.f64 (*.f64 x (sqrt.f64 27)) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -27) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 27) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) 1) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 27 (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) 1) (/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) 1) (/.f64 (*.f64 x (sqrt.f64 27)) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x 27) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 27 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x (*.f64 x 27)) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x (sqrt.f64 27)) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x 27) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 27 (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x (*.f64 x 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 27)) (+.f64 729 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 3))) (fma.f64 (*.f64 x (fma.f64 x 4 6)) (fma.f64 x (fma.f64 x 4 6) -9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 27)) (-.f64 81 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 2))) (-.f64 9 (*.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (*.f64 x (*.f64 x 27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (*.f64 x (*.f64 x 27))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 27)) (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x (fma.f64 x 4 6) 9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 27)) 3) (pow.f64 (fma.f64 x (fma.f64 x 4 6) 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 27) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 27))) 1))))))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

622×	`distribute-neg-frac_binary64`
492×	`unswap-sqr_binary64`
459×	`fma-def_binary64`
363×	`associate-l_binary64`
362×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	252
1	110	252
2	278	249
3	808	243
4	3015	242
5	6956	242

Stop Event

1×	node limit

Counts

95 → 88

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -16/27 (pow.f64 x 6)))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x))))
(fma.f64 8/9 (pow.f64 x 5) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (.f64 8/9 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 8/9 (pow.f64 x 5)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 3 (.f64 x x) (fma.f64 -2 (pow.f64 x 3) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -16/27 (pow.f64 x 6) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 -16/27 (pow.f64 x 6) (.f64 8/9 (pow.f64 x 5))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (.f64 (pow.f64 x 5) (+.f64 8/9 (*.f64 x -16/27))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 27/4 (/.f64 81/8 x)))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 81/8 x)))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 -81/8 x)))
(+.f64 (+.f64 27/4 (/.f64 -81/8 x)) (/.f64 729/32 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
(-.f64 (+.f64 27/4 (/.f64 729/32 (pow.f64 x 3))) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4))))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 27/4 (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 (/.f64 -2187/64 (pow.f64 x 4)) (/.f64 81/8 x))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 27/4 (/.f64 81/8 x)))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 81/8 x)))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 -81/8 x)))
(+.f64 (+.f64 27/4 (/.f64 -81/8 x)) (/.f64 729/32 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
(-.f64 (+.f64 27/4 (/.f64 729/32 (pow.f64 x 3))) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4))))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 27/4 (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 (/.f64 -2187/64 (pow.f64 x 4)) (/.f64 81/8 x))))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))

eval205.0ms (3.1%)

Compiler: Compiled 8181 to 5895 computations (27.9% saved)

prune127.0ms (2%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	485	4	489
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	486	14	500

Error

Counts

500 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(.f64 x (.f64 x (*.f64 x -2)))
▶	60.9b	(*.f64 x 9/2)
✓	5.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	62.3b	(+.f64 27/4 (/.f64 -81/8 x))
✓	14.8b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
▶	14.7b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
	61.5b	27/4
▶	22.6b	(*.f64 -2 (pow.f64 x 3))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	0.1b	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
✓	14.6b	(.f64 x (.f64 3 x))
✓	14.6b	(.f64 3 (.f64 x x))

Compiler

Compiled 129 to 88 computations (31.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (pow.f64 x 3))

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -2 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -2 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -2 (pow.f64 x 3))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
474×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1321	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))))

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 27/4 (/.f64 -81/8 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 27/4 (/.f64 -81/8 x))
1.0ms	x	@	inf	(+.f64 27/4 (/.f64 -81/8 x))
1.0ms	x	@	-inf	(+.f64 27/4 (/.f64 -81/8 x))

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1759	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 27/4 (/.f64 -81/8 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 27/4 (/.f64 -81/8 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 729/16 (-.f64 27/4 (/.f64 -81/8 x))) (/.f64 (/.f64 6561/64 (*.f64 x x)) (-.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27/4 (/.f64 -81/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 27/4 (/.f64 -81/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) (pow.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 2) (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) (sqrt.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3))) (/.f64 1 (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 729/16 (/.f64 6561/64 (*.f64 x x))) (/.f64 1 (-.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x))) (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 27/4 (/.f64 -81/8 x)) (-.f64 729/16 (/.f64 6561/64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3))) (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3))) (+.f64 (/.f64 6561/64 (*.f64 x x)) (-.f64 729/16 (/.f64 -2187/32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729/16 (/.f64 6561/64 (*.f64 x x))) (-.f64 27/4 (/.f64 -81/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3)))) (neg.f64 (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 729/16 (/.f64 6561/64 (*.f64 x x)))) (neg.f64 (-.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 6561/64 (*.f64 x x)) 729/16) (-.f64 (/.f64 -81/8 x) 27/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -81/8 (/.f64 1 x) 27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -81/8 x) 27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6561/64 (*.f64 x x))) (cbrt.f64 (/.f64 -81/8 x)) 27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -81/8 x)) (sqrt.f64 (/.f64 -81/8 x)) 27/4)))))

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	20	69
2	31	69
3	47	69
4	62	69
5	80	69
6	98	69
7	113	69
8	120	69

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

Inputs
(/.f64 -81/8 x)
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))

Outputs
(/.f64 -81/8 x)
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))

localize24.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 9 (*.f64 x 6))
	0.2b	(.f64 x (.f64 x 27))
✓	0.2b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
1.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
1.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
0.0ms	x	@	inf	(+.f64 9 (*.f64 x 6))
0.0ms	x	@	0	(+.f64 9 (*.f64 x 6))

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
426×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
271×	`pow2_binary64`
191×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	221	19
2	2903	19

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(+.f64 9 (*.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/27 (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 27) (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 27) (*.f64 x (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 27)) (/.f64 1 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 27 (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2))) (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 27)) (*.f64 (*.f64 x (sqrt.f64 27)) (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x 6 9))) (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -27) (/.f64 1 (neg.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 6 9)) (*.f64 x (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 27) (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) 1) (/.f64 x (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 6 9)) (*.f64 x 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 27 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) 1) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) 1) (/.f64 (*.f64 x (sqrt.f64 27)) (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2)) (/.f64 (*.f64 x 27) (cbrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) -2) (/.f64 (*.f64 x (*.f64 x 27)) (cbrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2)) (/.f64 27 (cbrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2)) (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2)) (/.f64 (*.f64 x (sqrt.f64 27)) (cbrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 6 9))) (/.f64 (*.f64 x 27) (sqrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (sqrt.f64 (fma.f64 x 6 9))) (/.f64 x (sqrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 6 9) -1/2) (/.f64 (*.f64 x (*.f64 x 27)) (sqrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 6 9))) (/.f64 27 (sqrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (sqrt.f64 (fma.f64 x 6 9))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (sqrt.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 27)) (fma.f64 (pow.f64 x 3) 216 729)) (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 27)) (-.f64 81 (*.f64 (*.f64 x x) 36))) (+.f64 9 (*.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x 6 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 27)) 6) (pow.f64 (fma.f64 x 6 9) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 27)) (neg.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 27)) 6) (pow.f64 (fma.f64 x 6 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x 6 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 6 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 81 (+.f64 9 (*.f64 -6 x))) (/.f64 (*.f64 (*.f64 x x) 36) (+.f64 9 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 9)) (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2) (cbrt.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 9)) (sqrt.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 216 729) (/.f64 1 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 81 (*.f64 (*.f64 x x) 36)) (/.f64 1 (+.f64 9 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81) (fma.f64 (pow.f64 x 3) 216 729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (*.f64 -6 x)) (-.f64 81 (*.f64 (*.f64 x x) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 729) (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 729) (fma.f64 (*.f64 x x) 36 (-.f64 81 (*.f64 54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (*.f64 (*.f64 x x) 36)) (+.f64 9 (*.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 729)) (neg.f64 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 81 (*.f64 (*.f64 x x) 36))) (neg.f64 (+.f64 9 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 36 -81) (fma.f64 x 6 -9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 9) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81) (fma.f64 (pow.f64 x 3) 216 729)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 9 (*.f64 -6 x)) (-.f64 81 (*.f64 (*.f64 x x) 36))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 6 9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 6 9)))) (sqrt.f64 (log.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 6 9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 6 9) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 6 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 6 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 6 9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 6) 1 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 6) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 6) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 x)) (sqrt.f64 x) 9)))))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-def_binary64`
514×	`associate-/l/_binary64`
439×	`times-frac_binary64`
426×	`fma-neg_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	204
1	106	204
2	239	202
3	639	195
4	1848	189
5	4494	189

Stop Event

1×	node limit

Counts

137 → 133

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
9
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(*.f64 6 x)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(*.f64 6 x)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 4/3 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 4/3 -2) 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 -8/9 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 -8/9 (pow.f64 x 5) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 x (fma.f64 x 4/3 -2) 3)) (.f64 -8/9 (pow.f64 x 5)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(fma.f64 x 9/2 (+.f64 (/.f64 81/8 x) -27/4))
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 -27/4 (fma.f64 x 9/2 (/.f64 -243/16 (*.f64 x x)))))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(fma.f64 x 9/2 (+.f64 (/.f64 81/8 x) -27/4))
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 -27/4 (fma.f64 x 9/2 (/.f64 -243/16 (*.f64 x x)))))
9
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)

eval91.0ms (1.4%)

Compiler: Compiled 2800 to 2159 computations (22.9% saved)

prune91.0ms (1.4%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	1	0	1
Picked	0	1	1
Done	1	11	12
Total	198	15	213

Error

Counts

213 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(.f64 x (.f64 x (*.f64 x -2)))
✓	60.9b	(*.f64 x 9/2)
	61.5b	27/4
✓	22.6b	(*.f64 -2 (pow.f64 x 3))
✓	5.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
✓	14.8b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	14.7b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
	14.6b	(/.f64 (.f64 x (.f64 x 27)) 9)
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
	62.2b	(/.f64 -81/8 x)
✓	0.1b	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
✓	14.6b	(.f64 x (.f64 3 x))
✓	14.6b	(.f64 3 (.f64 x x))

Compiler

Compiled 135 to 92 computations (31.9% saved)

regimes117.0ms (1.8%)

Counts

22 → 1

Calls

Call 1

Inputs
27/4
27/4
(/.f64 -81/8 x)
(*.f64 x 9/2)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))

Outputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))

Calls

3 calls:

93.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
11.0ms	x
7.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`
0.1b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 207 to 132 computations (36.2% saved)

regimes25.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
27/4
27/4
(/.f64 -81/8 x)
(*.f64 x 9/2)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Calls

2 calls:

13.0ms	x
7.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 162 to 105 computations (35.2% saved)

regimes54.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

Inputs
27/4
27/4
(/.f64 -81/8 x)
(*.f64 x 9/2)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))

Outputs
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x (*.f64 x -2)))

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
1.9b	3	`x`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch68.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	4.869930036867601e-5	1.8869873605610692
16.0ms	-2910.5834584687036	-2.1969545058917137e-7

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
27/4
27/4
(/.f64 -81/8 x)
(*.f64 x 9/2)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)

Outputs
(.f64 x (.f64 3 x))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
14.6b	1	`x`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes7.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
27/4
27/4
(/.f64 -81/8 x)
(*.f64 x 9/2)
(+.f64 27/4 (/.f64 -81/8 x))

Outputs
(*.f64 x 9/2)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
60.9b	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

3 → 1

Calls

Call 1

Inputs
27/4
27/4
(/.f64 -81/8 x)

Outputs
27/4

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
61.5b	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	81
1	40	81
2	50	81
3	62	81
4	85	81
5	99	81
6	105	81
7	107	81

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(if (<=.f64 x -400027544524853/137438953472) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 7186748243757405/147573952589676412928) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(*.f64 x 9/2)
27/4

Outputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x x) (.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(if (<=.f64 x -400027544524853/137438953472) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 7186748243757405/147573952589676412928) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -400027544524853/137438953472) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 7186748243757405/147573952589676412928) (.f64 x (.f64 x 3)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x 3))
(*.f64 x 9/2)
27/4

Compiler

Compiled 63 to 41 computations (34.9% saved)

soundness312.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Compiler

Compiled 83 to 59 computations (28.9% saved)

end41.0ms (0.6%)

Compiler: Compiled 58 to 35 computations (39.7% saved)